modeling4

modeling4 - Modeling QUESTION 4 Find the transfer function...

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Modeling Q UESTION 4 Find the transfer function ( 29 ( 29 ( 29 o i E s G s E s = for the circuit shown in Figure 4. L R 2 R 1 C e i (t) + - e o (t) + - Figure 4 The circuit diagram is shown in Figure 4.1. The constitutive law for the first resistor is ( 29 ( 29 ( 29 1 1 i A e t e t R I t - = (1) The constitutive law for the inductor is ( 29 ( 29 ( 29 2 A o e t e t LI t - = (2) The constitutive law for the capacitor is ( 29 ( 29 2 o Ce t I t = (3) The constitutive law for the second resistor is ( 29 ( 29 2 3 A e t R I t = (4) Applying KCL to node A ( 29 ( 29 ( 29 1 2 3 I t I t I t = + (5) Adding equations (1) and (2)

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Modeling ( 29 ( 29 ( 29 ( 29 1 1 2 i o e t e t R I t LI t - = + (6) Combining equations (2) and (4) ( 29 ( 29 ( 29 3 2 2 2 1 o L I t e t I t R R = + (7) Substituting equation (5) into equation (6) ( 29 ( 29
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modeling4 - Modeling QUESTION 4 Find the transfer function...

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